Recent results on the controllability of linear coupled parabolic problems: A survey

This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of differential equations) to parabolic systems. This question is itself tied with the...

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Detalles Bibliográficos
Autores: Ammar-Khodja, Farid, Benabdallah, Assia, González Burgos, Manuel, Teresa de Oteyza, María de la Luz de
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2011
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/46191
Acceso en línea:http://hdl.handle.net/11441/46191
https://doi.org/10.3934/mcrf.2011.1.267
Access Level:acceso abierto
Palabra clave:Parabolic systems
Controllability
Kalman condition
Descripción
Sumario:This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of differential equations) to parabolic systems. This question is itself tied with the proof of global Carleman estimates for systems and leads to a wide field of open problems.